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Finding the Fourth Proportional to 3,045.59, 4,567.86 and 853.81

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Solution

The fourth proportional to 3,045.59, 4,567.86 and 853.81 is: 1,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.59 : 4,567.86 = 853.81 : x
  2. Step 2: Convert to fraction form
    3,045.59/4,567.86 = 853.81/x
  3. Step 3: Cross multiply
    3,045.59x = 4,567.86 × 853.81
  4. Step 4: Simplify right side
    3,045.59x = 3,900,084.55
  5. Step 5: Solve for x
    x = 3,900,084.55/3,045.59
  6. Step 6: Final answer
    x = 1,280.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.